Theorems · Inductive type · category theory

CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct

{C₀ : Type u₀} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v₀, u₀} C₀] →
      [inst_1 : CategoryTheory.Category.{v, u} C] →
        {F : CategoryTheory.Functor C₀ C} →
          {J₀ : CategoryTheory.GrothendieckTopology C₀} →
            {J : CategoryTheory.GrothendieckTopology C} →
              {X : C} →
                F.OneHypercoverDenseData J₀ J X → {X₀ : C₀} → (F.obj X₀ ⟶ X) → {Y₀ : C₀} → (Y₀ ⟶ X₀) → Type (max v w)

Auxiliary structure for the definition OneHypercoverDenseData.sieve.

Defined in

Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense

Cited by

7 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category